Jonas Stelzig

most citedMaximally non-integrable almost complex structures: an

h

-principle and cohomological properties

18 citations · 28 across the 4 of their papers we have counts for

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3 papers · 1 filter

math.AG2020

Deformations of Higher-Page Analogues of $\partial \partial ˉ$ -Manifolds

Dan Popovici, Jonas Stelzig, Luis Ugarte

We extend the notion of essential deformations from the case of the Iwasawa manifold, for which they were introduced recently by the first-named author, to the general case of page…

math.AG2020★ 3 cited

Higher-Page Bott-Chern and Aeppli Cohomologies and Applications

Dan Popovici, Jonas Stelzig, Luis Ugarte

For every positive integer $r$ , we introduce two new cohomologies, that we call $E_{r}$ -Bott-Chern and $E_{r}$ -Aeppli, on compact complex manifolds. When $r = 1$ , they coincide with the…

math.AG2020★ 7 cited

Higher-Page Hodge Theory of Compact Complex Manifolds

Dan Popovici, Jonas Stelzig, Luis Ugarte

On a compact $\partial \partial ˉ$ -manifold $X$ , one has the Hodge decomposition: the de Rham cohomology groups split into subspaces of pure-type classes as $H_{dR}^k (X)=\oplus_{…

Deformations of Higher-Page Analogues of ∂∂ˉ-Manifolds

Higher-Page Bott-Chern and Aeppli Cohomologies and Applications

Higher-Page Hodge Theory of Compact Complex Manifolds

Deformations of Higher-Page Analogues of $\partial \partial ˉ$ -Manifolds